Abstract
Using Z 3 asymmetric orbifolds in heterotic string theory, we construct \( \mathcal{N} \) = 1 SUSY three-generation models with the standard model gauge group SU(3)C × SU(2)L × U(1)Y and the left-right symmetric group SU(3)C × SU(2)L × SU(2)R × U(1)B−L. One of the models possesses a gauge flavor symmetry for the Z 3 twisted matter.
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References
L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on Orbifolds, Nucl. Phys. B 261 (1985) 678 [INSPIRE].
L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on Orbifolds. 2., Nucl. Phys. B 274 (1986) 285 [INSPIRE].
L.E. Ibáñez, H.P. Nilles and F. Quevedo, Orbifolds and Wilson Lines, Phys. Lett. B 187 (1987) 25 [INSPIRE].
L.E. Ibáñez, J.E. Kim, H.P. Nilles and F. Quevedo, Orbifold Compactifications with Three Families of SU(3) × SU(2) × U(1)n, Phys. Lett. B 191 (1987) 282 [INSPIRE].
Y. Katsuki, Y. Kawamura, T. Kobayashi, N. Ohtsubo, Y. Ono et al., Z(N) orbifold models, Nucl. Phys. B 341 (1990) 611 [INSPIRE].
T. Kobayashi, S. Raby and R.-J. Zhang, Constructing 5 − D orbifold grand unified theories from heterotic strings, Phys. Lett. B 593 (2004) 262 [hep-ph/0403065] [INSPIRE].
T. Kobayashi, S. Raby and R.-J. Zhang, Searching for realistic 4d string models with a Pati-Salam symmetry: Orbifold grand unified theories from heterotic string compactification on a Z(6) orbifold, Nucl. Phys. B 704 (2005) 3 [hep-ph/0409098] [INSPIRE].
W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Supersymmetric standard model from the heterotic string, Phys. Rev. Lett. 96 (2006) 121602 [hep-ph/0511035] [INSPIRE].
W. Buchmüller, K. Hamaguchi, O. Lebedev and M. Ratz, Supersymmetric Standard Model from the Heterotic String (II), Nucl. Phys. B 785 (2007) 149 [hep-th/0606187] [INSPIRE].
J.E. Kim and B. Kyae, Flipped SU(5) from Z(12-I) orbifold with Wilson line, Nucl. Phys. B 770 (2007) 47 [hep-th/0608086] [INSPIRE].
O. Lebedev, H.P. Nilles, S. Raby, S. Ramos-Sanchez, M. Ratz et al., A Mini-landscape of exact MSSM spectra in heterotic orbifolds, Phys. Lett. B 645 (2007) 88 [hep-th/0611095] [INSPIRE].
O. Lebedev, H.P. Nilles, S. Raby, S. Ramos-Sanchez, M. Ratz et al., The Heterotic Road to the MSSM with R parity, Phys. Rev. D 77 (2008) 046013 [arXiv:0708.2691] [INSPIRE].
M. Blaszczyk, S. Groot Nibbelink, M. Ratz, F. Ruehle, M. Trapletti et al., A Z2xZ2 standard model, Phys. Lett. B 683 (2010) 340 [arXiv:0911.4905] [INSPIRE].
S. Groot Nibbelink and O. Loukas, MSSM-like models on Z(8) toroidal orbifolds, JHEP 12 (2013) 044 [arXiv:1308.5145] [INSPIRE].
H.P. Nilles, S. Ramos-Sanchez, M. Ratz and P.K. Vaudrevange, From strings to the MSSM, Eur. Phys. J. C 59 (2009) 249 [arXiv:0806.3905] [INSPIRE].
S. Hamidi and C. Vafa, Interactions on Orbifolds, Nucl. Phys. B 279 (1987) 465 [INSPIRE].
L.J. Dixon, D. Friedan, E.J. Martinec and S.H. Shenker, The Conformal Field Theory of Orbifolds, Nucl. Phys. B 282 (1987) 13 [INSPIRE].
T. Burwick, R. Kaiser and H. Muller, General Yukawa couplings of strings on Z(N) orbifolds, Nucl. Phys. B 355 (1991) 689 [INSPIRE].
J. Erler, D. Jungnickel, M. Spalinski and S. Stieberger, Higher twisted sector couplings of Z(N) orbifolds, Nucl. Phys. B 397 (1993) 379 [hep-th/9207049] [INSPIRE].
K.-S. Choi and T. Kobayashi, Higher order couplings from heterotic orbifold theory, Nucl. Phys. B 797 (2008) 295 [arXiv:0711.4894] [INSPIRE].
T. Kobayashi, S.L. Parameswaran, S. Ramos-Sanchez and I. Zavala, Revisiting Coupling Selection Rules in Heterotic Orbifold Models, JHEP 05 (2012) 008 [Erratum ibid. 1212 (2012) 049] [arXiv:1107.2137] [INSPIRE].
N.G. Cabo Bizet, T. Kobayashi, D.K. Mayorga Pena, S.L. Parameswaran, M. Schmitz et al., R-charge Conservation and More in Factorizable and Non-Factorizable Orbifolds, JHEP 05 (2013) 076 [arXiv:1301.2322] [INSPIRE].
T. Kobayashi, H.P. Nilles, F. Ploger, S. Raby and M. Ratz, Stringy origin of non-Abelian discrete flavor symmetries, Nucl. Phys. B 768 (2007) 135 [hep-ph/0611020] [INSPIRE].
P. Ko, T. Kobayashi, J.-h. Park and S. Raby, String-derived D(4) flavor symmetry and phenomenological implications, Phys. Rev. D 76 (2007) 035005 [Erratum ibid. D 76 (2007) 059901] [arXiv:0704.2807] [INSPIRE].
K. Narain, M. Sarmadi and C. Vafa, Asymmetric Orbifolds, Nucl. Phys. B 288 (1987) 551 [INSPIRE].
A.E. Faraggi, D.V. Nanopoulos and K.-j. Yuan, A Standard Like Model in the 4D Free Fermionic String Formulation, Nucl. Phys. B 335 (1990) 347 [INSPIRE].
G.B. Cleaver, A.E. Faraggi and C. Savage, Left-right symmetric heterotic string derived models, Phys. Rev. D 63 (2001) 066001 [hep-ph/0006331] [INSPIRE].
F. Beye, T. Kobayashi and S. Kuwakino, Gauge Symmetries in Heterotic Asymmetric Orbifolds, Nucl. Phys. B 875 (2013) 599 [arXiv:1304.5621] [INSPIRE].
L.E. Ibáñez, J. Mas, H.-P. Nilles and F. Quevedo, Heterotic Strings in Symmetric and Asymmetric Orbifold Backgrounds, Nucl. Phys. B 301 (1988) 157 [INSPIRE].
K. Narain, New Heterotic String Theories in Uncompactified Dimensions < 10, Phys. Lett. B 169 (1986) 41 [INSPIRE].
J. Leech, Notes on sphere packings, Can. J. Math. 19 (1967) 251.
H. Niemeier, Definite quadratische formen der dimension 24 und diskriminante 1, J. Number Theory 5 (1973) 142.
M. Ito, S. Kuwakino, N. Maekawa, S. Moriyama, K. Takahashi et al., E6 grand unified theory with three generations from heterotic string, Phys. Rev. D 83 (2011) 091703 [arXiv:1012.1690] [INSPIRE].
M. Ito, S. Kuwakino, N. Maekawa, S. Moriyama, K. Takahashi et al., Heterotic E 6 GUTs and Partition Functions, JHEP 12 (2011) 100 [arXiv:1104.0765] [INSPIRE].
W. Lerche, A. Schellekens and N. Warner, Lattices and Strings, Phys. Rept. 177 (1989) 1 [INSPIRE].
Y. Katsuki, Y. Kawamura, T. Kobayashi, N. Ohtsubo and K. Tanioka, Gauge Groups of Z(N) Orbifold Models, Prog. Theor. Phys. 82 (1989) 171 [INSPIRE].
T. Kobayashi and N. Ohtsubo, Geometrical aspects of Z(N) orbifold phenomenology, Int. J. Mod. Phys. A 9 (1994) 87 [INSPIRE].
Z. Kakushadze, G. Shiu and S.H. Tye, Couplings in asymmetric orbifolds and grand unified string models, Nucl. Phys. B 501 (1997) 547 [hep-th/9704113] [INSPIRE].
M. Dine, N. Seiberg and E. Witten, Fayet-Iliopoulos Terms in String Theory, Nucl. Phys. B 289 (1987) 589 [INSPIRE].
J.J. Atick, L.J. Dixon and A. Sen, String Calculation of Fayet-Iliopoulos d Terms in Arbitrary Supersymmetric Compactifications, Nucl. Phys. B 292 (1987) 109 [INSPIRE].
M. Dine, I. Ichinose and N. Seiberg, F terms and d Terms in String Theory, Nucl. Phys. B 293 (1987) 253 [INSPIRE].
T. Kobayashi and H. Nakano, ’Anomalous’ U(1) symmetry in orbifold string models, Nucl. Phys. B 496 (1997) 103 [hep-th/9612066] [INSPIRE].
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Beye, F., Kobayashi, T. & Kuwakino, S. Three-generation asymmetric orbifold models from heterotic string theory. J. High Energ. Phys. 2014, 13 (2014). https://doi.org/10.1007/JHEP01(2014)013
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DOI: https://doi.org/10.1007/JHEP01(2014)013